Online Wallet:
These wallet are very popular into cryptomarket, and mostly users use it, but I recommend you Blockchain.info website where you can create your wallet. If you don’t know how to create wallet? then don’t panic, I am telling you complete process step by step.
Offline Wallet:
This work like a software means if you want to work with bitcoin then you need to run Bitcoin wallet software, if not need then you can close.
But here is one problem, Before performing any action(send, receive bitcoin) you need to synchronize all blockchain. Which is can loss your huge amount of internet data, but this process is more secure as compared to the online wallet.